7452781920 has 768 divisors, whose sum is σ = 29611008000. Its totient is φ = 1741824000.

The previous prime is 7452781913. The next prime is 7452781927. The reversal of 7452781920 is 291872547.

It is a happy number.

7452781920 is a `hidden beast` number, since 7 + 452 + 7 + 8 + 192 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7452781913) and next prime (7452781927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7452781927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73789870 + ... + 73789970.

It is an arithmetic number, because the mean of its divisors is an integer number (38556000).

Almost surely, 2^7452781920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7452781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805504000).

7452781920 is an abundant number, since it is smaller than the sum of its proper divisors (22158226080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7452781920 is a wasteful number, since it uses less digits than its factorization.

7452781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7452781920 is about 86329.4962339061. The cubic root of 7452781920 is about 1953.3173356045.

The spelling of 7452781920 in words is "seven billion, four hundred fifty-two million, seven hundred eighty-one thousand, nine hundred twenty".